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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 652 · 40 questions
TalentJR

How to think it through (Two sure moves): The “if” part happened → the “then” part must be true. The “then” part did not happen → the “if” part must be false. The “then” part happened, or the “if” part did not happen → we can’t tell.

NameDateTime takenScore ___ / 40
  1. 1.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya does not score above 90. What can you say about “Aditya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan scores above 90. What can you say about “Rohan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Vivaan buys milk. Fact: The shop is not open. What can you say about “Vivaan buys milk”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera goes to the park. What can you say about “Meera finishes the homework”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi does not finish the homework. What can you say about “Saanvi goes to the park”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not win the match. What can you say about “Dev gets a medal”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar does not go to the park. What can you say about “Omkar does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not get a medal. What can you say about “Ira does not win the match”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan does not get a medal. What can you say about “Karan wins the match”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan finishes the homework. What can you say about “Ishaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav scores above 90. What can you say about “Manav gets a gold star”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If Rohan finishes the homework, then Rohan goes to the park. Fact: Rohan finishes the homework. What can you say about “Rohan goes to the park”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul finishes the homework. What can you say about “Rahul does not go to the park”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not stay green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav wins the match. What can you say about “Manav does not get a medal”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not win the match. What can you say about “Kavya gets a medal”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth goes to the park. What can you say about “Siddharth finishes the homework”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If the shop is open, then Priya buys milk. Fact: Priya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya gets a medal. What can you say about “Zoya wins the match”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Karan wins the match, then Karan gets a medal. Fact: Karan gets a medal. What can you say about “Karan does not win the match”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya does not get a medal. What can you say about “Zoya wins the match”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash gets a gold star. What can you say about “Yash scores above 90”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha does not score above 90. What can you say about “Aisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera does not win the match. What can you say about “Meera gets a medal”? (a) must be true (b) must be false (c) can't tell

Answer key

  1. can't tell
  2. must be true
  3. can't tell
  4. can't tell
  5. must be false
  6. can't tell
  7. can't tell
  8. can't tell
  9. can't tell
  10. can't tell
  11. can't tell
  12. must be true
  13. must be true
  14. must be false
  15. can't tell
  16. must be true
  17. must be true
  18. must be true
  19. must be true
  20. must be false
  21. can't tell
  22. must be true
  23. can't tell
  24. must be false
  25. can't tell
  26. must be true
  27. can't tell
  28. can't tell
  29. can't tell
  30. must be false
  31. must be true
  32. can't tell
  33. can't tell
  34. must be false
  35. can't tell
  36. can't tell
  37. must be false
  38. can't tell
  39. can't tell
  40. can't tell

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